BOUNDEDNESS OF WEYL QUANTIZATION

Citation:

QI Minyou(M. Y. CHI),CHEN Wenyi.BOUNDEDNESS OF WEYL QUANTIZATION[J].Chinese Annals of Mathematics B,1999,20(1):111~122
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Authors:

QI Minyou(M. Y. CHI); CHEN Wenyi

Foundation:

the National Natural Science Foundation of China(the Tianyuan Foundation of Mathematics) and the Science Foundation of State Education Commission of China
Abstract: The authors consider the boundedness of Weyl quantization in an as broad as possible frame and take the results already obtained as just particular cases.The notions of almost-diagonalizable operators and boundedness modulo a regularizing operator are proposed.

Keywords:

Weyl quantization, Wigner function, Almost-diagonalizable operators

Classification:

35S05, 35B40
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